Atkin-Lehner |
2+ 5+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
53560a |
Isogeny class |
Conductor |
53560 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
115776 |
Modular degree for the optimal curve |
Δ |
145463818240 = 211 · 5 · 13 · 1033 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 1 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-104616,-12989204] |
[a1,a2,a3,a4,a6] |
Generators |
[-3671865:24308:19683] |
Generators of the group modulo torsion |
j |
61829002974198098/71027255 |
j-invariant |
L |
4.8344047201574 |
L(r)(E,1)/r! |
Ω |
0.26546037953994 |
Real period |
R |
6.0704661194412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107120c1 |
Quadratic twists by: -4 |